一类混合动态系统的稳定性

混合动态系统是一类同时含有连续时间变量和离散事件变量的系统，在这类系统中，两类变量耦合在一起，具有复杂的动力学特性和时钟关系。本文在一般度量空间上刻画了混合动态系统，并给出了混合动态系统在Ｌｙａｐｕｎｏｖ意义下稳定和渐近稳定的定义及其充分必要条件，同时研究了一类混合动态系统稳定与其连续和离散事件子系统的稳定性之间的关系。

STABILITY OF CLASS OF HYBRID DYNAMIC SYSTEMS

Hybrid dynamic systems is a class of systems which involve both continuous variables and discrete events, these two classes of variables couple together tightly, showing complex dynamic characters and clock relations. In this paper, these hybrid dynamic systems are described in metric space, the definitions of Lyapunovstability and asymptotically stability are given as well as its sufficient and necessary conditions.Furthermore,the relation between the stability of a class of special hybrid dynamic systems and the stability of its continuous sub systems and discrete subsystems is considered.